542503021200 has 240 divisors, whose sum is σ = 1986605646720. Its totient is φ = 123967733760.

The previous prime is 542503021183. The next prime is 542503021213. The reversal of 542503021200 is 2120305245.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×542503021200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46773802 + ... + 46785398.

It is an arithmetic number, because the mean of its divisors is an integer number (8277523528).

Almost surely, 2^542503021200 is an apocalyptic number.

542503021200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542503021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993302823360).

542503021200 is an abundant number, since it is smaller than the sum of its proper divisors (1444102625520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542503021200 is a wasteful number, since it uses less digits than its factorization.

542503021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17194 (or 17183 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 542503021200 its reverse (2120305245), we get a palindrome (544623326445).

The spelling of 542503021200 in words is "five hundred forty-two billion, five hundred three million, twenty-one thousand, two hundred".